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Prog. Theor. Phys. Vol. 46 No. 3 (1971) pp. 897-908

[ Full Text PDF : FREE ACCESS (606K) ]

Solutions of the Bethe-Salpeter Equation

— the Case of Pµ=0, general L —

Tsuyoshi Aotsuka and Yasuo Munakata

Department of Physics, Kyoto University, Kyoto

(Received May 4, 1971)

Abstract:

The solutions of the scalar ladder model of the Bethe-Salpeter equation are obtained for the case of Pµ=0 but of general L (magnitude of Lorentz angular momentum). The solutions are obtained in a form of a single dispersion integral of superconvergent type, the absorptive part of which can be expressed as a rapidly convergent power series in λ, the coupling constant. The eigenvalues λL's are determined as the zeros of an entire function for each L. The asymptotic form of the solutionsis clarified. Numerical results are obtained for L=0 and for the ground and the first excited states and compared with that of zur Linden.


URL : http://ptp.ipap.jp/link?PTP/46/897/
DOI : 10.1143/PTP.46.897

[ Full Text PDF : FREE ACCESS (606K) ] Citation:

References:

  1. N. Nakanishi, Prog. Theor. Phys. Suppl. No. 43 (1969), 1[PTP].
    Comprehensive literatures on the Bethe-Salpeter equation are also listed up in this article.
  2. B. W. Lee and R. F. Sawyer, Phys. Rev. 127 (1962), 2266[APS].
  3. L. Bertocchi, S. Fubini and M. Tonin, Nuovo Cim. 25 (1962), 626.
    D. Amati, A. Stanghellini and S. Fubini, Nuovo Cim. 26 (1962), 896.
  4. G. Domokos and P. Suranyi, Nucl. Phys. 54 (1964), 529[CrossRef].
    G. Domokos, Phys. Rev. 159 (1967), 1387[APS].
  5. D. Z. Freedman and J.-M. Wang, Phys. Rev. 153 (1967), 1596[APS].
  6. See, e.g., C. H. Llewellyn Smith, Ann. of Phys. 53 (1969), 521[CrossRef].
  7. C. Schwartz, Phys. Rev. B 137 (1965), 717[APS].
    C. Schwartz and C. Zemach, Phys. Rev. 141 (1966), 1454[APS].
    V. Chung and D. R. Snider, Phys. Rev. 162 (1967), 1639[APS].
    A. Pagnamenta, Nuovo Cim. A 53 (1968), 30.
    K. Ladányi, Nuovo Cim. A 56 (1968), 173.
    E. zur Linden and H. Mitter, Nuovo Cim. B 61 (1969), 389.
    E. zur Lindin, Nuovo Cim. A 63 (1969), 181.
  8. N. Nakanishi, Soryushiron Kenkyu (mimeographed circular in Japanese) 21 (1960), 193.
    C. Ceolin, F. Duimio, R. Stroffolini and S. Fubini, Nuovo Cim. 26 (1962), 247.
    I. Sato, J. Math. Phys. 4 (1963), 24[CrossRef].
    G. Kramer and K. Meetz, Commun. Math. Phys. 3 (1966), 29[CrossRef].
  9. Y. Munakata and T. Aotsuka, Prog. Theor. Phys. Suppl. Extra Number (1968), 259[PTP].
  10. G. C. Wick, Phys. Rev. 96 (1954), 1124[APS].
  11. G. Wanders, Helv. Phys. Acta 30 (1957), 417.
  12. A. Bassetto, S. Ciccariello and M. Tonin, Nuovo Cim. 35 (1965), 292.
  13. S. Naito, Prog. Theor. Phys. 40 (1968), 412[PTP].
  14. S. Deser, W. Gilbert and E. C. G. Sudarshan, Phys. Rev. 115 (1959), 731[APS].
    M. Ida, Prog. Theor. Phys. 23 (1960), 1151[PTP].

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